What is the Greatest Common Factor of 16990 and 17000?

Greatest common factor (GCF) of 16990 and 17000 is 10.

GCF(16990,17000) = 10

We will now calculate the prime factors of 16990 and 17000, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16990 and 17000.

How to find the GCF of 16990 and 17000?

We will first find the prime factorization of 16990 and 17000. After we will calculate the factors of 16990 and 17000 and find the biggest common factor number .

Step-1: Prime Factorization of 16990

Prime factors of 16990 are 2, 5, 1699. Prime factorization of 16990 in exponential form is:

16990 = 2¹ × 5¹ × 1699¹

Step-2: Prime Factorization of 17000

Prime factors of 17000 are 2, 5, 17. Prime factorization of 17000 in exponential form is:

17000 = 2³ × 5³ × 17¹

Step-3: Factors of 16990

List of positive integer factors of 16990 that divides 16990 without a remainder.

1, 2, 5, 10, 1699, 3398, 8495

Step-4: Factors of 17000

List of positive integer factors of 17000 that divides 16990 without a remainder.

1, 2, 4, 5, 8, 10, 17, 20, 25, 34, 40, 50, 68, 85, 100, 125, 136, 170, 200, 250, 340, 425, 500, 680, 850, 1000, 1700, 2125, 3400, 4250, 8500

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16990 and 17000. The biggest common factor number is the GCF number.
So the greatest common factor 16990 and 17000 is 10.

Also check out the Least Common Multiple of 16990 and 17000